24shayad main galti kar raha hoon[2][2].......do minute ruk....[12]
this is a passage question..........i solve d the rest of them but cant do this one.....
A point is moving on curve S such that at any instant the slope is proportional to ratio of absicca with ordinate of point and area bounded by curve is finite and is equal to 4Ï€ .with respect to any ponit P on curve S,a chord of contact is drawn on x2+y2=2 which touches circle x2+y2=a
QIf curve S intersects X axis at 2 points (r1,0),(r2,0) r1<r2 then find value of \int_{\frac{r_{1}}{2}}^{\frac{r_{2}}{2}}{\frac{2u^{332}+u^{998}+4u^{1664}sinu^{691}}{1+u^{666}}}du
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25 Answers
24@ deepanshul..chord of contact not used here.....it was for other questions.......[1]
33waise we should solve it having k it will not make much difference... only limits will differ..
33well...k=1
option might have been free of any constant...
and that chord one is not for this q it was a complete passage...
13can sum1 plz temme how u ppl hav used the second condition given about chord of contact...
and hows k=1
24ooooo............mere dimag mein ye baat nahin aayi.shayad tab main coordinate ke bare mein soch raha thaa aur integration bhool gaya thaa...[3][3]
33So question ye hai...
I=-1∫12u332+u998/(1+u666)
I=20∫12u332+u998/(1+u666)
also 332+666=998 :P kuch hona chahiye isse.. :p
___(edited)
in that putting 1+x666=t
sayad ye aega
I=0∫1(1+t)dt/t√t-1
33k=1 kaise aaya...
do constant hai naa..
dy/dx=kx/y ..... yaha par 1 liya kya... k=1
and one consntant from integration... and only one condition... area given so ek eliminate kaise hua...
24@ subash edited line was ""If curve S intersects X axis at 2 points (r1,0),(r2,0) r1<r2 then find value of ""[1][1]
24arre bhai.......yehi to hai paragraph....""A point is moving on curve S such that at any instant the slope is proportional to ratio of absicca with ordinate of point and area bounded by curve is finite and is equal to 4Ï€ .with respect to any ponit P on curve S,a chord of contact is drawn on x2+y2=2 which touches circle x2+y2=a""
33Eureka eqn of S to nikaala hoga naa..
yahi aaya
y2+kx2=c
k>0
c=4√k
y2+kx2=4√k
11erueka its a bit confusing to look at
please post the entire paragraph!
24i missed a line in question....edited that
@ manipal ..this question has nothing to do with other questions of paragraph.........
11if this is a paragraph question
then please post the whole paragraph
so that whole problem may be looked at !!!!!!!!!!!!!
24thats why i cant get it............other parts of this paragraph were also very good............if any wants them then feel free to ask.......but help me here........